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22115601666 = 2332922762213
BaseRepresentation
bin10100100110001100…
…010100110100000010
32010002021101222011000
4110212030110310002
5330243043223131
614054302032430
71412021340534
oct244614246402
963067358130
1022115601666
119419753954
124352578716
132115a98c42
1410db273854
15896865ce6
hex526314d02

22115601666 has 64 divisors (see below), whose sum is σ = 51065251200. Its totient is φ = 7086195648.

The previous prime is 22115601661. The next prime is 22115601671. The reversal of 22115601666 is 66610651122.

It is an interprime number because it is at equal distance from previous prime (22115601661) and next prime (22115601671).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22115601666.

It is not an unprimeable number, because it can be changed into a prime (22115601661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324376 + ... + 386588.

It is an arithmetic number, because the mean of its divisors is an integer number (797894550).

Almost surely, 222115601666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22115601666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25532625600).

22115601666 is an abundant number, since it is smaller than the sum of its proper divisors (28949649534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22115601666 is a wasteful number, since it uses less digits than its factorization.

22115601666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62480 (or 62474 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 22115601666 in words is "twenty-two billion, one hundred fifteen million, six hundred one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 227 261 454 522 681 783 1362 1566 2043 4086 6129 6583 12258 13166 19749 39498 59247 62213 118494 124426 177741 186639 355482 373278 559917 1119834 1679751 1804177 3359502 3608354 5412531 10825062 14122351 16237593 28244702 32475186 42367053 48712779 84734106 97425558 127101159 254202318 381303477 409548179 762606954 819096358 1228644537 2457289074 3685933611 7371867222 11057800833 22115601666